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70989120 = 263251572
BaseRepresentation
bin1000011101100…
…11010101000000
311221120121202200
410032303111000
5121133122440
611013313200
71521253236
oct416632500
9157517680
1070989120
11370871a4
121b935800
1311926ac7
1495dc956
156373c30
hex43b3540

70989120 has 126 divisors (see below), whose sum is σ = 245738142. Its totient is φ = 18809856.

The previous prime is 70989119. The next prime is 70989131. The reversal of 70989120 is 2198907.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 831744 + 70157376 = 912^2 + 8376^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 452082 + ... + 452238.

Almost surely, 270989120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122869071).

70989120 is an abundant number, since it is smaller than the sum of its proper divisors (174749022).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

70989120 is a wasteful number, since it uses less digits than its factorization.

70989120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 70989120 is about 8425.5041392192. The cubic root of 70989120 is about 414.0606226425.

The spelling of 70989120 in words is "seventy million, nine hundred eighty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 157 160 180 192 240 288 314 320 360 471 480 576 628 720 785 942 960 1256 1413 1440 1570 1884 2355 2512 2826 2880 3140 3768 4710 5024 5652 6280 7065 7536 9420 10048 11304 12560 14130 15072 18840 22608 24649 25120 28260 30144 37680 45216 49298 50240 56520 73947 75360 90432 98596 113040 123245 147894 150720 197192 221841 226080 246490 295788 369735 394384 443682 452160 492980 591576 739470 788768 887364 985960 1109205 1183152 1478940 1577536 1774728 1971920 2218410 2366304 2957880 3549456 3943840 4436820 4732608 5915760 7098912 7887680 8873640 11831520 14197824 17747280 23663040 35494560 70989120